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Finding the Fourth Proportional to 7,813.02, 10,778.76 and 5,713.50

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Solution

The fourth proportional to 7,813.02, 10,778.76 and 5,713.50 is: 7,882.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.02 : 10,778.76 = 5,713.50 : x
  2. Step 2: Convert to fraction form
    7,813.02/10,778.76 = 5,713.50/x
  3. Step 3: Cross multiply
    7,813.02x = 10,778.76 × 5,713.50
  4. Step 4: Simplify right side
    7,813.02x = 61,584,445.26
  5. Step 5: Solve for x
    x = 61,584,445.26/7,813.02
  6. Step 6: Final answer
    x = 7,882.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.